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nalin [4]
2 years ago
15

Help me with khan geometry. (Explain or give answer no link to answer thx)

Mathematics
1 answer:
NikAS [45]2 years ago
7 0

Answer:

\boxed{\sf 200\pi}

Step-by-step explanation:

We know that the volume of a cone:-

\boxed{\sf  \pi r^2\cfrac{h}{3}}

(r = 10) (h = 6)

\sf \pi \times 10^2\times\cfrac{6}{3}

<u>Divide numbers:-</u>

\sf \cfrac{6}{3}=\boxed{2}

\sf 10^2\times \:2\pi

\sf 100\times \:2\pi

<u>Multiply numbers:-</u>

\boxed{\sf 200\pi}

Therefore, your answer is 200π³

We could also multiply 200 by 3.14 which will give you 628 units³.

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Ali is riding his bicycle. He rides at a Speed of 12.8 kilometers per hour for 2 hours how many kilometers did he ride
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Answer:

25.6 kilometers

Step-by-step explanation:

12.8 km in an hour

he is riding for 2 hours

12.8 x 2 = 25.6

6 0
3 years ago
Which answer is the approximate standard deviation of the data set?
Ierofanga [76]

Answer:  A. 6.5

Step-by-step explanation:

Here, the given set = { 15, 19 3, 12, 17, 2, 2, 8}

Mean, \overline{ x} = \frac{15+19+3+12+17+2+2+8}{8} = \frac{78}{8} = 9.75

Number of elements, n = 8

\frac{\sum (|x-\overline{x}|)^2}{n}=42.4375

Thus, the standard deviation, \sigma =\frac{\sqrt{\sum(|x-\overline{x}|)^2} }{n}=\sqrt{\frac{339.5}{8}}=\sqrt{42.4375} = 6.51440711\approx 6.5

⇒ Option A is correct.

4 0
3 years ago
Read 2 more answers
Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen
Kryger [21]

Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.

<h3>What is logarithm?</h3>

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Erika is working on solving the exponential equation 50^x = 17;

however, she is not quite sure where to start.

The equation is

50^x = 17\\

By taking the log both sides

log_a b = x\\\\a_x = b

By using the base formula

log_0 y = \dfrac{logy}{log b}

So, log_{50} 17= x\\\\

x = \dfrac{log17}{log 50}

x = 0.7242

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3 0
2 years ago
The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. Th
Orlov [11]

The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

<h3>How to determine the length</h3>

The cosine rule is given as;

c = \sqrt{a^2 + b^2 - 2ab cos \alpha }

c = length of the diagonal

a = base length = 22 feet

b = 7 feet

c = \sqrt{7^2 + 22^2 - 2 * 7 * 22 cos 40}

c = \sqrt{533 - 308 * 0. 7660}

c = \sqrt{533 - 235. 93}

c = \sqrt{297. 072}

c = 17. 24 feet

Using sine rule

\frac{a}{sin A }  = \frac{c}{sin C}

\frac{a}{sin 70}  = \frac{17. 24}{sin 40}

Cross multiply

a × sin 60 = c × sin 70

a × 0. 8660 = 17. 24 × 0. 9397

a = \frac{16. 20}{0. 8660}

a = 18. 7 feet long

Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

Learn more about  isosceles trapezoid here:

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5 0
2 years ago
The question is "You are skiing on a mountain with an attitude of 1200 feet. The angle of depression is 21°. Find the distance x
vichka [17]

Answer:

59.7

Step-by-step explanation:

8 0
2 years ago
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